No apparent connections outside Germanic. "English alone has retained the word in a general sense, for which the other languages use forms corresponding to OE. þæc thatch" [OED]. Roof of the mouth is from late Old English. Raise the roof "create an uproar" is attested from 1860, originally in U.S. Southern dialect.

roof

The Dictionary of American Slang, Fourth Edition by Barbara Ann Kipfer, PhD. and Robert L. Chapman, Ph.D.Copyright (C) 2007 by HarperCollins Publishers.Cite This Source

Idioms and Phrases with raise the roof

raise the roof

1.

Be extremely noisy and boisterous, as in They'd had a lot to drink and were really raising the roof last night.

2.

Complain loudly and angrily, as in When the landlord increased the rent, the tenants raised the roof about his lack of repairs and maintenance. Both usages convey the image of the roof being lifted because it cannot contain either noise or rage.
[ ; mid-1800s
]